A bullet of mass a and velocity b is fired into a large block of mass c. The final velocity of the system is

Options

A. `(c )/(a+b)*b`
B. `(a)/(a+c )*b`
C. `(a+b)/(c ).a`
D. `(a+c)/(a).b`

Answer

B

Explanation

Initially bullet moves with velocity b and after collision bullet get embedded in block and both move together with common velocity
By the conservation of momentum
`rArr axx b + 0 = (a + c) V rArr V= (ab)/(a+c)`